On the solution of Stokes equations for plane boundaries

In a recent paper (Li et al., Acta Mech. Sin. 31, 32–44, 2015), the authors claimed that the general solution of steady Stokes flows can be compactly expressed using only two harmonic functions. They present two cases of a flat plate translating through a viscous fluid. The present paper shows that...

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Bibliographic Details
Published in:Acta mechanica Sinica 2017-02, Vol.33 (1), p.62-64
Main Authors: Qin, Y., Sun, R.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Intelligence
Discussion
Engineering
Engineering Fluid Dynamics
flow
General
Fluid dynamics
Harmonic functions
Harmonics
Mathematical analysis
Navier-Stokes equations
solution
Harmonics
Stokes
Stokes law (fluid mechanics)
Theoretical and Applied Mechanics
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Summary:In a recent paper (Li et al., Acta Mech. Sin. 31, 32–44, 2015), the authors claimed that the general solution of steady Stokes flows can be compactly expressed using only two harmonic functions. They present two cases of a flat plate translating through a viscous fluid. The present paper shows that such a two-harmonic solution does not describe the rotation of a circular plate in an unbounded fluid and thus confirms that at least three independent harmonics are required to express the general solution of Stokes equations.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-016-0622-y